The condition that provides a means to settle the amount of a loss when the insured and the insurance company cannot agree is the

A deductible refers to the amount the insured must pay out-of-pocket before the insurance policy begins to cover the loss. While it is a relevant concept in insurance, it does not provide a mechanism for settling disputes over claim amounts. Instead, it represents a cost-sharing feature that applies before any appraisal or settlement discussions occur.

Liberalization is a policy provision that allows an insurance company to extend more favorable terms to all policyholders without raising premiums. While it may improve coverage options, it does not serve the purpose of settling disagreements about loss amounts between the insured and the insurer.

Salvage refers to the process of recovering value from damaged property, often after a loss has occurred. This concept is related to mitigating losses but does not specifically address the resolution of disputes regarding the amount of a loss between the insured and the insurance company.